Coregularity of smooth Fano threefolds
Algebraic Geometry
2024-10-01 v1
Abstract
We study the coregularity of smooth Fano threefolds. We prove that for 100 out of 105 families of smooth Fano threefolds, a general member in the family has coregularity 0; moreover, for 92 families out of these 100, any member in the family has coregularity 0; for the remaining 5 families, we obtain some partial results. In particular, we show that there exist families of smooth Fano threefolds whose general elements have positive coregularity.
Cite
@article{arxiv.2309.16784,
title = {Coregularity of smooth Fano threefolds},
author = {Artem Avilov and Konstantin Loginov and Victor Przyjalkowski},
journal= {arXiv preprint arXiv:2309.16784},
year = {2024}
}
Comments
40 pages